The Taylor series expansion is given by: 00 (-1)" sin x= 2 x2n +1 (2n + 1)! n= 0 Evaluate sin 44° using the first 2 terms of the Taylor series, give your answer to 4 d.p. sin 44°: Evaluate sin 44° using the first 4 terms of the Taylor series, give your answer to 4 d.p. sin 44° Evaluate sin 44° using a calculator, give your answer to 4 d.p. sin 44°: %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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The Taylor series expansion is given by.
(-1)"
Σ
2n + 1
X.
(2n + 1)!
sin x=
Evaluate sin 44° using the first 2 terms of the Taylor series, give your answer to 4 d.p.
sin 44°:
Evaluate sin 44° using the first 4 terms of the Taylor series, give your answer to 4 d.p.
sin 44° =
Evaluate sin 44° using a calculator, give your answer to 4 d.p.
sin 44° =
Transcribed Image Text:The Taylor series expansion is given by. (-1)" Σ 2n + 1 X. (2n + 1)! sin x= Evaluate sin 44° using the first 2 terms of the Taylor series, give your answer to 4 d.p. sin 44°: Evaluate sin 44° using the first 4 terms of the Taylor series, give your answer to 4 d.p. sin 44° = Evaluate sin 44° using a calculator, give your answer to 4 d.p. sin 44° =
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